Doctor Who anagrams to Torchwood.
Any Harry Potter fan knows that Tom Marvolo Riddle is an anagram for I am Lord Voldemort. But fun Potter fact: when the books were translated, translators had to come up with a different anagram that made sense in the language they were using. In the French translation, Tom Riddle is named Tom Elvis Jedusor, an anagram for Je suis Voldemort. In German, the two names make one sentence - Tom Vorlost Riddle ist Lord Voldemort.
Harry Potter fans may not know that Ron Weasley anagrams to Lose Wand Early, though it seems unlikely that was intentional.
Vladimir Nabokov anagrams to Vivian Darkbloom, a character in Lolita.
You know how you never noticed until right now that the lyric Mr. Mojo Risin' in The Doors' L.A. Woman doesn't make any damn sense? Well, Mr. Mojo Risin' is an anagram for Jim Morrison. Which means he was essentially just singing his own name over and over. And they say Kanye is a narcissist.
Axl Rose is an anagram for oral sex, because Guns N Roses is classy like that.
One website claims that Will.I.Am is an anagram for William, which it totally clearly isn't. An anagram for William... or .WillI.Am., yes. William, no.
Info from MoviePilot.com, Wordsmith.org, TVTropes.com